Add to ORKGWe consider the semi-classical limit ε → 0 for the nonlinear Schrödinger equa-tion (1) iε∂tψε + ε2 2 ∆ψε = V (x)ψε +λ|ψε|2σψε, (t, x) ∈ R+×Rd; ψε|t=0 = ψε0, with λ ∈ R, d> 1. The external potential V is smooth, real-valued, and at most quadratic
In this paper, we study the the coupled nonlinear Schr\"{o}dinger system \begin{align*} \begin{cases...
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
We study the nonlocal equation −ε²Δuε + Vuε = ε−α (Iα∗∣uε∣p)∣uε∣p−2uε in ℝN, where N≥1, α∈(0,N), Iα(...
The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. (English summa...
AbstractIn this paper, we are concerned with the following nonlinear Schrödinger equation: ih̵∂ψ∂t=−...
Abstract. We present several results concerning the semiclassical limit of the time dependent Schrö...
International audienceWe prove semiclassical resolvent estimates for the Schrödinger operator in R d...
We consider the nonlinear Schrodinger equation epsilon(2)Delta u - V (x) u + | u|(p-1) u = 0, x i...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
AbstractWe consider existence and asymptotic behavior of solutions for an equation of the formε2Δu−V...
International audienceWe prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞...
International audienceWe prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞...
Semiclassical limit for Schrodinger equations with magnetic field and Hartree-type nonlinearitie
AbstractWe study the semi-classical limit of the least energy solutions to the nonlinear Dirac equat...
In this document we explore the issue of L1 → L ∞ estimates for the solution operator of the linear ...
In this paper, we study the the coupled nonlinear Schr\"{o}dinger system \begin{align*} \begin{cases...
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
We study the nonlocal equation −ε²Δuε + Vuε = ε−α (Iα∗∣uε∣p)∣uε∣p−2uε in ℝN, where N≥1, α∈(0,N), Iα(...
The semiclassical limit of the nonlinear Schrödinger equation in a radial potential. (English summa...
AbstractIn this paper, we are concerned with the following nonlinear Schrödinger equation: ih̵∂ψ∂t=−...
Abstract. We present several results concerning the semiclassical limit of the time dependent Schrö...
International audienceWe prove semiclassical resolvent estimates for the Schrödinger operator in R d...
We consider the nonlinear Schrodinger equation epsilon(2)Delta u - V (x) u + | u|(p-1) u = 0, x i...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
AbstractWe consider existence and asymptotic behavior of solutions for an equation of the formε2Δu−V...
International audienceWe prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞...
International audienceWe prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞...
Semiclassical limit for Schrodinger equations with magnetic field and Hartree-type nonlinearitie
AbstractWe study the semi-classical limit of the least energy solutions to the nonlinear Dirac equat...
In this document we explore the issue of L1 → L ∞ estimates for the solution operator of the linear ...
In this paper, we study the the coupled nonlinear Schr\"{o}dinger system \begin{align*} \begin{cases...
We study the existence of semi-classical bound states of the nonlinear Schrödinger equation \begin{l...
We study the nonlocal equation −ε²Δuε + Vuε = ε−α (Iα∗∣uε∣p)∣uε∣p−2uε in ℝN, where N≥1, α∈(0,N), Iα(...